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Finding the Fourth Proportional to 1,635.18, 2,452.97 and 539.25

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Solution

The fourth proportional to 1,635.18, 2,452.97 and 539.25 is: 808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.18 : 2,452.97 = 539.25 : x
  2. Step 2: Convert to fraction form
    1,635.18/2,452.97 = 539.25/x
  3. Step 3: Cross multiply
    1,635.18x = 2,452.97 × 539.25
  4. Step 4: Simplify right side
    1,635.18x = 1,322,764.07
  5. Step 5: Solve for x
    x = 1,322,764.07/1,635.18
  6. Step 6: Final answer
    x = 808.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.